5112940800 has 432 divisors, whose sum is σ = 18869292288. Its totient is φ = 1208524800.

The previous prime is 5112940799. The next prime is 5112940801. The reversal of 5112940800 is 80492115.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5112940799) and next prime (5112940801).

It is a super-2 number, since 2×5112940800² = 52284327248609280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5112940801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9081319 + ... + 9081881.

Almost surely, 2^5112940800 is an apocalyptic number.

5112940800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5112940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434646144).

5112940800 is an abundant number, since it is smaller than the sum of its proper divisors (13756351488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5112940800 is a wasteful number, since it uses less digits than its factorization.

5112940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 5112940800 is about 71504.8306060507. The cubic root of 5112940800 is about 1722.7552738831.

The spelling of 5112940800 in words is "five billion, one hundred twelve million, nine hundred forty thousand, eight hundred".